4x+3(x+2)=11x+2(3-x)

Solution for 4x+3(x+2)=11x+2(3-x) equation:

Simplifying
4x + 3(x + 2) = 11x + 2(3 + -1x)

Reorder the terms:
4x + 3(2 + x) = 11x + 2(3 + -1x)
4x + (2 * 3 + x * 3) = 11x + 2(3 + -1x)
4x + (6 + 3x) = 11x + 2(3 + -1x)

Reorder the terms:
6 + 4x + 3x = 11x + 2(3 + -1x)

Combine like terms: 4x + 3x = 7x
6 + 7x = 11x + 2(3 + -1x)
6 + 7x = 11x + (3 * 2 + -1x * 2)
6 + 7x = 11x + (6 + -2x)

Reorder the terms:
6 + 7x = 6 + 11x + -2x

Combine like terms: 11x + -2x = 9x
6 + 7x = 6 + 9x

Add '-6' to each side of the equation.
6 + -6 + 7x = 6 + -6 + 9x

Combine like terms: 6 + -6 = 0
0 + 7x = 6 + -6 + 9x
7x = 6 + -6 + 9x

Combine like terms: 6 + -6 = 0
7x = 0 + 9x
7x = 9x

Solving
7x = 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
7x + -9x = 9x + -9x

Combine like terms: 7x + -9x = -2x
-2x = 9x + -9x

Combine like terms: 9x + -9x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0